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- Fri Dec 12 23:57:06 2025 Msieve v. 1.54 (SVN 573b9ef)
- Fri Dec 12 23:57:06 2025 random seeds: 75760714 dd037842
- Fri Dec 12 23:57:06 2025 Using 32 OpenMP threads
- Fri Dec 12 23:57:06 2025 factoring 6279970249033644745497637031492406913069538284557518268590477357084134106157426157175868252238191225150667464068084975340205962571464251673055096229940168198393927142187401409283184731618345417981680555798337231239100222958975401521941479774121 (244 digits)
- Fri Dec 12 23:57:07 2025 no P-1/P+1/ECM available, skipping
- Fri Dec 12 23:57:07 2025 commencing number field sieve (244-digit input)
- Fri Dec 12 23:57:07 2025 R0: 42952943531783368019485081429982247069770
- Fri Dec 12 23:57:07 2025 R1: -207250919254374763363
- Fri Dec 12 23:57:07 2025 A0: -1
- Fri Dec 12 23:57:07 2025 A1: 3
- Fri Dec 12 23:57:07 2025 A2: 6
- Fri Dec 12 23:57:07 2025 A3: -4
- Fri Dec 12 23:57:07 2025 A4: -5
- Fri Dec 12 23:57:07 2025 A5: 1
- Fri Dec 12 23:57:07 2025 A6: 1
- Fri Dec 12 23:57:07 2025 skew 1.38, size 5.538e-12, alpha 3.126, combined = 4.064e-13 rroots = 6
- Fri Dec 12 23:57:07 2025
- Fri Dec 12 23:57:07 2025 commencing relation filtering
- Fri Dec 12 23:57:07 2025 setting target matrix density to 120.0
- Fri Dec 12 23:57:07 2025 estimated available RAM is 128740.1 MB
- Fri Dec 12 23:57:07 2025 commencing duplicate removal, pass 1
- Fri Dec 12 23:58:58 2025 skipped 55 relations with b > 2^32
- Fri Dec 12 23:58:58 2025 skipped 1 malformed relations
- Fri Dec 12 23:58:58 2025 found 6760443 hash collisions in 245491820 relations
- Fri Dec 12 23:58:58 2025 commencing duplicate removal, pass 2
- Fri Dec 12 23:59:33 2025 found 0 duplicates and 245491820 unique relations
- Fri Dec 12 23:59:33 2025 memory use: 810.4 MB
- Fri Dec 12 23:59:33 2025 reading ideals above 720000
- Fri Dec 12 23:59:33 2025 commencing singleton removal, initial pass
- Sat Dec 13 00:05:42 2025 memory use: 6024.0 MB
- Sat Dec 13 00:05:42 2025 reading all ideals from disk
- Sat Dec 13 00:05:43 2025 memory use: 11502.5 MB
- Sat Dec 13 00:05:53 2025 keeping 214928055 ideals with weight <= 200, target excess is 1197748
- Sat Dec 13 00:06:05 2025 commencing in-memory singleton removal
- Sat Dec 13 00:06:09 2025 begin with 245491820 relations and 214928055 unique ideals
- Sat Dec 13 00:06:30 2025 reduce to 166986804 relations and 131283235 ideals in 15 passes
- Sat Dec 13 00:06:30 2025 max relations containing the same ideal: 167
- Sat Dec 13 00:06:57 2025 removing 11582562 relations and 9582562 ideals in 2000000 cliques
- Sat Dec 13 00:07:00 2025 commencing in-memory singleton removal
- Sat Dec 13 00:07:02 2025 begin with 155404242 relations and 131283235 unique ideals
- Sat Dec 13 00:07:11 2025 reduce to 154756899 relations and 121042742 ideals in 8 passes
- Sat Dec 13 00:07:11 2025 max relations containing the same ideal: 162
- Sat Dec 13 00:07:36 2025 removing 8774674 relations and 6774674 ideals in 2000000 cliques
- Sat Dec 13 00:07:39 2025 commencing in-memory singleton removal
- Sat Dec 13 00:07:41 2025 begin with 145982225 relations and 121042742 unique ideals
- Sat Dec 13 00:07:48 2025 reduce to 145562426 relations and 113842324 ideals in 7 passes
- Sat Dec 13 00:07:48 2025 max relations containing the same ideal: 153
- Sat Dec 13 00:08:12 2025 removing 7916668 relations and 5916668 ideals in 2000000 cliques
- Sat Dec 13 00:08:14 2025 commencing in-memory singleton removal
- Sat Dec 13 00:08:16 2025 begin with 137645758 relations and 113842324 unique ideals
- Sat Dec 13 00:08:22 2025 reduce to 137282956 relations and 107557856 ideals in 6 passes
- Sat Dec 13 00:08:22 2025 max relations containing the same ideal: 147
- Sat Dec 13 00:08:44 2025 removing 7464661 relations and 5464661 ideals in 2000000 cliques
- Sat Dec 13 00:08:47 2025 commencing in-memory singleton removal
- Sat Dec 13 00:08:48 2025 begin with 129818295 relations and 107557856 unique ideals
- Sat Dec 13 00:08:56 2025 reduce to 129481889 relations and 101752031 ideals in 8 passes
- Sat Dec 13 00:08:56 2025 max relations containing the same ideal: 138
- Sat Dec 13 00:09:17 2025 removing 7173051 relations and 5173051 ideals in 2000000 cliques
- Sat Dec 13 00:09:19 2025 commencing in-memory singleton removal
- Sat Dec 13 00:09:21 2025 begin with 122308838 relations and 101752031 unique ideals
- Sat Dec 13 00:09:27 2025 reduce to 121987133 relations and 96252536 ideals in 7 passes
- Sat Dec 13 00:09:27 2025 max relations containing the same ideal: 134
- Sat Dec 13 00:09:47 2025 removing 6977011 relations and 4977011 ideals in 2000000 cliques
- Sat Dec 13 00:09:49 2025 commencing in-memory singleton removal
- Sat Dec 13 00:09:50 2025 begin with 115010122 relations and 96252536 unique ideals
- Sat Dec 13 00:09:55 2025 reduce to 114695371 relations and 90955840 ideals in 6 passes
- Sat Dec 13 00:09:55 2025 max relations containing the same ideal: 129
- Sat Dec 13 00:10:14 2025 removing 6838821 relations and 4838821 ideals in 2000000 cliques
- Sat Dec 13 00:10:16 2025 commencing in-memory singleton removal
- Sat Dec 13 00:10:17 2025 begin with 107856550 relations and 90955840 unique ideals
- Sat Dec 13 00:10:23 2025 reduce to 107538914 relations and 85794340 ideals in 7 passes
- Sat Dec 13 00:10:23 2025 max relations containing the same ideal: 123
- Sat Dec 13 00:10:41 2025 removing 6732752 relations and 4732752 ideals in 2000000 cliques
- Sat Dec 13 00:10:43 2025 commencing in-memory singleton removal
- Sat Dec 13 00:10:44 2025 begin with 100806162 relations and 85794340 unique ideals
- Sat Dec 13 00:10:49 2025 reduce to 100482752 relations and 80732714 ideals in 7 passes
- Sat Dec 13 00:10:49 2025 max relations containing the same ideal: 119
- Sat Dec 13 00:11:06 2025 removing 6657329 relations and 4657329 ideals in 2000000 cliques
- Sat Dec 13 00:11:07 2025 commencing in-memory singleton removal
- Sat Dec 13 00:11:09 2025 begin with 93825423 relations and 80732714 unique ideals
- Sat Dec 13 00:11:13 2025 reduce to 93491719 relations and 75735573 ideals in 7 passes
- Sat Dec 13 00:11:13 2025 max relations containing the same ideal: 111
- Sat Dec 13 00:11:29 2025 removing 6609397 relations and 4609397 ideals in 2000000 cliques
- Sat Dec 13 00:11:31 2025 commencing in-memory singleton removal
- Sat Dec 13 00:11:32 2025 begin with 86882322 relations and 75735573 unique ideals
- Sat Dec 13 00:11:36 2025 reduce to 86534330 relations and 70771366 ideals in 7 passes
- Sat Dec 13 00:11:36 2025 max relations containing the same ideal: 107
- Sat Dec 13 00:11:51 2025 removing 6581326 relations and 4581326 ideals in 2000000 cliques
- Sat Dec 13 00:11:53 2025 commencing in-memory singleton removal
- Sat Dec 13 00:11:54 2025 begin with 79953004 relations and 70771366 unique ideals
- Sat Dec 13 00:11:58 2025 reduce to 79582897 relations and 65812294 ideals in 7 passes
- Sat Dec 13 00:11:58 2025 max relations containing the same ideal: 105
- Sat Dec 13 00:12:12 2025 removing 6570418 relations and 4570418 ideals in 2000000 cliques
- Sat Dec 13 00:12:13 2025 commencing in-memory singleton removal
- Sat Dec 13 00:12:14 2025 begin with 73012479 relations and 65812294 unique ideals
- Sat Dec 13 00:12:18 2025 reduce to 72615493 relations and 60835933 ideals in 7 passes
- Sat Dec 13 00:12:18 2025 max relations containing the same ideal: 97
- Sat Dec 13 00:12:31 2025 removing 6573815 relations and 4573815 ideals in 2000000 cliques
- Sat Dec 13 00:12:32 2025 commencing in-memory singleton removal
- Sat Dec 13 00:12:33 2025 begin with 66041678 relations and 60835933 unique ideals
- Sat Dec 13 00:12:36 2025 reduce to 65605682 relations and 55815721 ideals in 8 passes
- Sat Dec 13 00:12:36 2025 max relations containing the same ideal: 90
- Sat Dec 13 00:12:48 2025 removing 6605186 relations and 4605186 ideals in 2000000 cliques
- Sat Dec 13 00:12:50 2025 commencing in-memory singleton removal
- Sat Dec 13 00:12:51 2025 begin with 59000496 relations and 55815721 unique ideals
- Sat Dec 13 00:12:54 2025 reduce to 58518628 relations and 50716088 ideals in 8 passes
- Sat Dec 13 00:12:54 2025 max relations containing the same ideal: 82
- Sat Dec 13 00:13:04 2025 removing 6653760 relations and 4653760 ideals in 2000000 cliques
- Sat Dec 13 00:13:06 2025 commencing in-memory singleton removal
- Sat Dec 13 00:13:07 2025 begin with 51864868 relations and 50716088 unique ideals
- Sat Dec 13 00:13:09 2025 reduce to 51317115 relations and 45498665 ideals in 7 passes
- Sat Dec 13 00:13:09 2025 max relations containing the same ideal: 74
- Sat Dec 13 00:13:19 2025 removing 6718437 relations and 4718437 ideals in 2000000 cliques
- Sat Dec 13 00:13:20 2025 commencing in-memory singleton removal
- Sat Dec 13 00:13:20 2025 begin with 44598678 relations and 45498665 unique ideals
- Sat Dec 13 00:13:23 2025 reduce to 43962577 relations and 40122784 ideals in 8 passes
- Sat Dec 13 00:13:23 2025 max relations containing the same ideal: 68
- Sat Dec 13 00:13:31 2025 removing 6804262 relations and 4804262 ideals in 2000000 cliques
- Sat Dec 13 00:13:32 2025 commencing in-memory singleton removal
- Sat Dec 13 00:13:33 2025 begin with 37158315 relations and 40122784 unique ideals
- Sat Dec 13 00:13:35 2025 reduce to 36386521 relations and 34516316 ideals in 8 passes
- Sat Dec 13 00:13:35 2025 max relations containing the same ideal: 58
- Sat Dec 13 00:13:42 2025 removing 2199444 relations and 1718627 ideals in 480817 cliques
- Sat Dec 13 00:13:43 2025 commencing in-memory singleton removal
- Sat Dec 13 00:13:43 2025 begin with 34187077 relations and 34516316 unique ideals
- Sat Dec 13 00:13:44 2025 reduce to 34084716 relations and 32694036 ideals in 7 passes
- Sat Dec 13 00:13:44 2025 max relations containing the same ideal: 56
- Sat Dec 13 00:13:54 2025 relations with 0 large ideals: 91495
- Sat Dec 13 00:13:54 2025 relations with 1 large ideals: 43128
- Sat Dec 13 00:13:54 2025 relations with 2 large ideals: 457269
- Sat Dec 13 00:13:54 2025 relations with 3 large ideals: 2251287
- Sat Dec 13 00:13:54 2025 relations with 4 large ideals: 5849846
- Sat Dec 13 00:13:54 2025 relations with 5 large ideals: 8937889
- Sat Dec 13 00:13:54 2025 relations with 6 large ideals: 8390904
- Sat Dec 13 00:13:54 2025 relations with 7+ large ideals: 8062898
- Sat Dec 13 00:13:54 2025 commencing 2-way merge
- Sat Dec 13 00:14:03 2025 reduce to 21727166 relation sets and 20336486 unique ideals
- Sat Dec 13 00:14:03 2025 commencing full merge
- Sat Dec 13 00:18:45 2025 memory use: 2710.3 MB
- Sat Dec 13 00:18:46 2025 found 9739460 cycles, need 9672686
- Sat Dec 13 00:18:48 2025 weight of 9672686 cycles is about 1161476473 (120.08/cycle)
- Sat Dec 13 00:18:48 2025 distribution of cycle lengths:
- Sat Dec 13 00:18:48 2025 1 relations: 493343
- Sat Dec 13 00:18:48 2025 2 relations: 577027
- Sat Dec 13 00:18:48 2025 3 relations: 636647
- Sat Dec 13 00:18:48 2025 4 relations: 644709
- Sat Dec 13 00:18:48 2025 5 relations: 652528
- Sat Dec 13 00:18:48 2025 6 relations: 649695
- Sat Dec 13 00:18:48 2025 7 relations: 640882
- Sat Dec 13 00:18:48 2025 8 relations: 619378
- Sat Dec 13 00:18:48 2025 9 relations: 589776
- Sat Dec 13 00:18:48 2025 10+ relations: 4168701
- Sat Dec 13 00:18:48 2025 heaviest cycle: 28 relations
- Sat Dec 13 00:18:50 2025 commencing cycle optimization
- Sat Dec 13 00:19:03 2025 start with 89749413 relations
- Sat Dec 13 00:20:57 2025 pruned 4195925 relations
- Sat Dec 13 00:20:57 2025 memory use: 2319.3 MB
- Sat Dec 13 00:20:57 2025 distribution of cycle lengths:
- Sat Dec 13 00:20:57 2025 1 relations: 493343
- Sat Dec 13 00:20:57 2025 2 relations: 589117
- Sat Dec 13 00:20:57 2025 3 relations: 660933
- Sat Dec 13 00:20:57 2025 4 relations: 670024
- Sat Dec 13 00:20:57 2025 5 relations: 684697
- Sat Dec 13 00:20:57 2025 6 relations: 681381
- Sat Dec 13 00:20:57 2025 7 relations: 675752
- Sat Dec 13 00:20:57 2025 8 relations: 650800
- Sat Dec 13 00:20:57 2025 9 relations: 621464
- Sat Dec 13 00:20:57 2025 10+ relations: 3945175
- Sat Dec 13 00:20:57 2025 heaviest cycle: 28 relations
- Sat Dec 13 00:21:07 2025 RelProcTime: 1440
- Sat Dec 13 00:21:07 2025 elapsed time 00:24:01
- Sat Dec 13 00:24:35 2025
- Sat Dec 13 00:24:35 2025
- Sat Dec 13 00:24:35 2025 Msieve v. 1.54 (SVN 573b9ef)
- Sat Dec 13 00:24:35 2025 random seeds: 73551f9c 561ff60f
- Sat Dec 13 00:24:35 2025 MPI process 0 of 2
- Sat Dec 13 00:24:35 2025 Using 8 OpenMP threads
- Sat Dec 13 00:24:35 2025 factoring 6279970249033644745497637031492406913069538284557518268590477357084134106157426157175868252238191225150667464068084975340205962571464251673055096229940168198393927142187401409283184731618345417981680555798337231239100222958975401521941479774121 (244 digits)
- Sat Dec 13 00:24:35 2025 no P-1/P+1/ECM available, skipping
- Sat Dec 13 00:24:35 2025 commencing number field sieve (244-digit input)
- Sat Dec 13 00:24:35 2025 R0: 42952943531783368019485081429982247069770
- Sat Dec 13 00:24:35 2025 R1: -207250919254374763363
- Sat Dec 13 00:24:35 2025 A0: -1
- Sat Dec 13 00:24:35 2025 A1: 3
- Sat Dec 13 00:24:35 2025 A2: 6
- Sat Dec 13 00:24:35 2025 A3: -4
- Sat Dec 13 00:24:35 2025 A4: -5
- Sat Dec 13 00:24:35 2025 A5: 1
- Sat Dec 13 00:24:35 2025 A6: 1
- Sat Dec 13 00:24:35 2025 skew 1.38, size 5.538e-12, alpha 3.126, combined = 4.064e-13 rroots = 6
- Sat Dec 13 00:24:35 2025
- Sat Dec 13 00:24:35 2025 commencing linear algebra
- Sat Dec 13 00:24:35 2025 using VBITS=256
- Sat Dec 13 00:24:35 2025 initialized process (0,0) of 1 x 2 grid
- Sat Dec 13 00:24:36 2025 read 9672686 cycles
- Sat Dec 13 00:24:48 2025 cycles contain 33332486 unique relations
- Sat Dec 13 00:25:06 2025 read 33332486 relations
- Sat Dec 13 00:25:12 2025 using 20 quadratic characters above 4294917295
- Sat Dec 13 00:25:21 2025 building initial matrix
- Sat Dec 13 00:28:44 2025 memory use: 3994.8 MB
- Sat Dec 13 00:28:48 2025 read 9672686 cycles
- Sat Dec 13 00:28:49 2025 matrix is 9672509 x 9672686 (4502.7 MB) with weight 1272124768 (131.52/col)
- Sat Dec 13 00:28:49 2025 sparse part has weight 1083632018 (112.03/col)
- Sat Dec 13 00:29:41 2025 filtering completed in 2 passes
- Sat Dec 13 00:29:42 2025 matrix is 9672083 x 9672245 (4502.7 MB) with weight 1272108179 (131.52/col)
- Sat Dec 13 00:29:42 2025 sparse part has weight 1083624244 (112.03/col)
- Sat Dec 13 00:29:55 2025 matrix starts at (0, 0)
- Sat Dec 13 00:29:56 2025 matrix is 9672083 x 4836148 (2251.3 MB) with weight 636051482 (131.52/col)
- Sat Dec 13 00:29:56 2025 sparse part has weight 541812226 (112.03/col)
- Sat Dec 13 00:29:56 2025 saving the first 240 matrix rows for later
- Sat Dec 13 00:29:56 2025 matrix includes 256 packed rows
- Sat Dec 13 00:29:58 2025 matrix is 9671843 x 4836148 (2078.0 MB) with weight 492282679 (101.79/col)
- Sat Dec 13 00:29:58 2025 sparse part has weight 467352822 (96.64/col)
- Sat Dec 13 00:29:58 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
- Sat Dec 13 00:29:58 2025 selected card has CUDA arch 8.6
- Sat Dec 13 00:30:14 2025 commencing Lanczos iteration
- Sat Dec 13 00:30:15 2025 memory use: 5244.4 MB
- Sat Dec 13 00:30:35 2025 linear algebra at 0.3%, ETA 1h44m
- Sat Dec 13 00:31:05 2025 checking every 90000 dimensions, checkpointing every 5580000 dimensions
- Sat Dec 13 02:13:42 2025 lanczos halted after 37895 iterations (dim = 9671842)
- Sat Dec 13 02:14:04 2025 recovered 34 nontrivial dependencies
- Sat Dec 13 02:14:05 2025 BLanczosTime: 6570
- Sat Dec 13 02:14:05 2025 elapsed time 01:49:30
- Sat Dec 13 02:23:16 2025
- Sat Dec 13 02:23:16 2025
- Sat Dec 13 02:23:16 2025 Msieve v. 1.54 (SVN 573b9ef)
- Sat Dec 13 02:23:16 2025 random seeds: 6810a3de 3ddabc75
- Sat Dec 13 02:23:16 2025 Using 32 OpenMP threads
- Sat Dec 13 02:23:16 2025 factoring 6279970249033644745497637031492406913069538284557518268590477357084134106157426157175868252238191225150667464068084975340205962571464251673055096229940168198393927142187401409283184731618345417981680555798337231239100222958975401521941479774121 (244 digits)
- Sat Dec 13 02:23:17 2025 no P-1/P+1/ECM available, skipping
- Sat Dec 13 02:23:17 2025 commencing number field sieve (244-digit input)
- Sat Dec 13 02:23:17 2025 R0: 42952943531783368019485081429982247069770
- Sat Dec 13 02:23:17 2025 R1: -207250919254374763363
- Sat Dec 13 02:23:17 2025 A0: -1
- Sat Dec 13 02:23:17 2025 A1: 3
- Sat Dec 13 02:23:17 2025 A2: 6
- Sat Dec 13 02:23:17 2025 A3: -4
- Sat Dec 13 02:23:17 2025 A4: -5
- Sat Dec 13 02:23:17 2025 A5: 1
- Sat Dec 13 02:23:17 2025 A6: 1
- Sat Dec 13 02:23:17 2025 skew 1.38, size 5.538e-12, alpha 3.126, combined = 4.064e-13 rroots = 6
- Sat Dec 13 02:23:17 2025
- Sat Dec 13 02:23:17 2025 commencing square root phase
- Sat Dec 13 02:23:17 2025 reading relations for dependency 1
- Sat Dec 13 02:23:17 2025 read 4835175 cycles
- Sat Dec 13 02:23:23 2025 cycles contain 16664390 unique relations
- Sat Dec 13 02:23:34 2025 read 16664390 relations
- Sat Dec 13 02:24:07 2025 multiplying 16664390 relations
- Sat Dec 13 02:24:42 2025 multiply complete, coefficients have about 411.45 million bits
- Sat Dec 13 02:24:43 2025 initial square root is modulo 24140747
- Sat Dec 13 02:26:06 2025 found factor: 2640585110887999272694288941414797689049479897533951599653839976379
- Sat Dec 13 02:26:06 2025 reading relations for dependency 2
- Sat Dec 13 02:26:07 2025 read 4837903 cycles
- Sat Dec 13 02:26:12 2025 cycles contain 16672632 unique relations
- Sat Dec 13 02:26:23 2025 read 16672632 relations
- Sat Dec 13 02:26:57 2025 multiplying 16672632 relations
- Sat Dec 13 02:27:33 2025 multiply complete, coefficients have about 411.65 million bits
- Sat Dec 13 02:27:34 2025 initial square root is modulo 24342797
- Sat Dec 13 02:28:57 2025 GCD is 1, no factor found
- Sat Dec 13 02:28:57 2025 reading relations for dependency 3
- Sat Dec 13 02:28:57 2025 read 4837867 cycles
- Sat Dec 13 02:29:03 2025 cycles contain 16671034 unique relations
- Sat Dec 13 02:29:14 2025 read 16671034 relations
- Sat Dec 13 02:29:47 2025 multiplying 16671034 relations
- Sat Dec 13 02:30:23 2025 multiply complete, coefficients have about 411.60 million bits
- Sat Dec 13 02:30:24 2025 initial square root is modulo 24287863
- Sat Dec 13 02:31:47 2025 sqrtTime: 510
- Sat Dec 13 02:31:47 2025 p57 factor: 236160166974667944032679869083985911199293604356827854657
- Sat Dec 13 02:31:47 2025 p67 factor: 2640585110887999272694288941414797689049479897533951599653839976379
- Sat Dec 13 02:31:47 2025 p122 factor: 10070493858401820705146080648981938237701369510017804819027605814067309390823310880827189465532700044957908011405231281707
- Sat Dec 13 02:31:47 2025 elapsed time 00:08:31
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